We have calculated the 5PN Hamiltonian in the harmonic gauge using an EFT method both for the potential and
the tail terms. For the memory term we obtain a different result comparing to [1]}
and find one more contributing diagram. From the local contributions to periastron advance
\(K^{\rm loc,h}(\hat{E},j)\)  it has been possible to derive the five 5PN EOB parameters \(q_{82}, q_{63}, q_{44}, \bar{d}_5\)  and
\(a_6\) . The rational contributions of \(O(\nu ^2)\)  to \(q_{44}, \bar{d}_5\)  and \(a_6\)  do also depend on the non–singular
multipole moments \(L_k \varepsilon _{ijk} Q_{il} Q_{jl}\)  and \(Q_{ij} Q_{jk} Q_{ki}\) , which enter as \(D=4\) 
dependent quantities and are of \(O(\nu ^2)\) .
We are not aware of other contributions to the tail term in the EFT approach.
